Chapter 4 Practical Geometry Exercise 4.3

Chapter 4 Practical Geometry Exercise 4.3 Question 1. Construct the following quadrilaterals: (i) Quadrilateral MORE MO = 6 cm, ∠R = 105°, OR = 4.5 cm, ∠M = 60°, ∠O = 105° (ii) Quadrilateral PLAN PL = 4 cm, LA = 6.5 cm, ∠P = 90°, ∠A = 110°, ∠N = 85° (iii) Parallelogram HEAR […]

Chapter 4 Practical Geometry Exercise 4.4

Chapter 4 Practical Geometry Exercise 4.4 Question 1. Construct the following quadrilaterals: (i) Quadrilateral DEAR DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60°, ∠A = 90° (ii) Quadrilateral TRUE TR = 3.5 cm, RU = 3 cm, UE = 4.5 cm, ∠R = 75°, ∠U = 120° Solution: […]

Chapter 4 Practical Geometry Exercise 4.2

Chapter 4 Practical Geometry Exercise 4.2 Question 1. Construct the following quadrilaterals. (i) Quadrilateral LIFT LI = 4 cm IF = 3 cm TL = 2.5 cm LF = 4.5 cm IT = 4 cm (ii) Quadrilateral GOLD OL = 7.5 cm GL = 6 cm GD = 6 cm LD = 5 cm OD […]

Chapter 4 Practical Geometry Ex. 4.1

Chapter 4 Practical Geometry Ex. 4.1 Question 1. Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm, AC = 7 cm (ii) Quadrilateral JUMP JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm, PU […]

Chapter 3 Understanding Quadrilaterals

Chapter 3 Understanding Quadrilaterals Very Short Answer Type Question 1. In the given figure, ABCD is a parallelogram. Find x. Solution: AB = DC [Opposite sides of a parallelogram] 3x + 5 = 5x – 1 ⇒ 3x – 5x = -1 – 5 ⇒ -2x = -6 ⇒ x = 3 Question 2. In […]

Chapter 3 Understanding Quadrilaterals Exercise 3.4

Chapter 3 Understanding Quadrilaterals Exercise 3.4 Question 1. State whether True or False. (a) All rectangles are squares. (b) All rhombuses are parallelograms. (c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are trapeziums. (h) All squares are […]

Chapter 3 Understanding Quadrilaterals Exercise 3.3

Chapter 3 Understanding Quadrilaterals Exercise 3.3 Question 1. Given a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = ………… (ii) ∠DCB = ……… (iii) OC = ……… (iv) m∠DAB + m∠CDA = …….. Solution: (i) AD = BC [Opposite sides of a parallelogram are equal] (ii) ∠DCB = […]

Chapter 3 Understanding Quadrilaterals Exercise 3.2

Chapter 3 Understanding Quadrilaterals Exercise 3.2 Question 1. Find x in the following figures. Solution: (a) We know that the sum of all the exterior angles of a polygon = 360° 125° + 125° + x = 360° ⇒ 250° + x = 360° x = 360° – 250° = 110° Hence x = 110° […]

Chapter 2 Linear Equations in One Variable

Chapter 2 Linear Equations in One Variable Very Short Answer Type Question 1. Identify the algebraic linear equations from the given expressions. (a) x2 + x = 2 (b) 3x + 5 = 11 (c) 5 + 7 = 12 (d) x + y2 = 3 Solution: (a) x2 + x = 2 is not a linear equation. […]

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